翻訳と辞書 Words near each other ・ Roots Reggae Library ・ Roots revival ・ Roots Revival (project) ・ Roots Revolution ・ Roots rock ・ Roots Rock Riot ・ Roots School System ・ Roots Search ・ Roots to Branches ・ Root of ansa cervicalis ・ Root of penis ・ Root of the hair ・ Root of the lung ・ Root of the mesentery ・ Root of Things ・ Root of unity ・ Root of unity modulo n ・ Root pressure ・ Root race ・ Root River ・ Root River (Algoma District) ・ Root River (Kenora District) ・ Root River (Minnesota) ・ Root River (Wisconsin) ・ Root Road Covered Bridge ・ Root rot ・ Root Shale ・ Root sheath ・ Root Sports ・ Root Sports Northwest Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Root of unity ： ウィキペディア英語版 Root of unity In mathematics, a root of unity, occasionally called a de Moivre number, is any complex number that gives 1 when raised to some positive integer power . Roots of unity are used in many branches of mathematics, and are especially important in number theory, the theory of group characters, and the discrete Fourier transform. In field theory and ring theory the notion of root of unity also applies to any ring with a multiplicative identity element. Any algebraically closed field has exactly th roots of unity, if is not divisible by the characteristic of the field. ==General definition== An th root of unity, where is a positive integer (i.e. ), is a number satisfying the equation :$z^n\; =\; 1.$ Traditionally, is assumed to be a complex number, and subsequent sections of this article will comply with this usage. Generally, can be considered for any field , or even for a unital ring. In this general formulation, an th root of unity is just an element of the group of units of order . Interesting cases are finite fields and modular arithmetics, for which the article root of unity modulo n contains some information. An th root of unity is if it is not a th root of unity for some smaller : :$z^k\; \backslash ne\; 1\; \backslash qquad\; (k\; =\; 1,\; 2,\; 3,\; \backslash dots,\; n-1\; ).$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Root of unity」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.